-3(3p+4)-2(2-11p)=3(5+4p)

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Solution for -3(3p+4)-2(2-11p)=3(5+4p) equation:


Simplifying
-3(3p + 4) + -2(2 + -11p) = 3(5 + 4p)

Reorder the terms:
-3(4 + 3p) + -2(2 + -11p) = 3(5 + 4p)
(4 * -3 + 3p * -3) + -2(2 + -11p) = 3(5 + 4p)
(-12 + -9p) + -2(2 + -11p) = 3(5 + 4p)
-12 + -9p + (2 * -2 + -11p * -2) = 3(5 + 4p)
-12 + -9p + (-4 + 22p) = 3(5 + 4p)

Reorder the terms:
-12 + -4 + -9p + 22p = 3(5 + 4p)

Combine like terms: -12 + -4 = -16
-16 + -9p + 22p = 3(5 + 4p)

Combine like terms: -9p + 22p = 13p
-16 + 13p = 3(5 + 4p)
-16 + 13p = (5 * 3 + 4p * 3)
-16 + 13p = (15 + 12p)

Solving
-16 + 13p = 15 + 12p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-12p' to each side of the equation.
-16 + 13p + -12p = 15 + 12p + -12p

Combine like terms: 13p + -12p = 1p
-16 + 1p = 15 + 12p + -12p

Combine like terms: 12p + -12p = 0
-16 + 1p = 15 + 0
-16 + 1p = 15

Add '16' to each side of the equation.
-16 + 16 + 1p = 15 + 16

Combine like terms: -16 + 16 = 0
0 + 1p = 15 + 16
1p = 15 + 16

Combine like terms: 15 + 16 = 31
1p = 31

Divide each side by '1'.
p = 31

Simplifying
p = 31

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